Welcome to the Forum from Virginia! If you get the opportunity please post some pictures (cell phones are fine) as we love pics of treasures like yours.
Regarding your US Navy, it should look and be marked the same as mine pictured below. Mine shipped from the factory on December 17, 1942 and is serial number V 192216. Your serial number is some 35,106 numbers higher than mine which at the estimated rate of 5000 per week, would put yours shipping just like previously posted, somewhere around early Feb 1943.
You can obtain a Letter from the Factory that will tell you for sure, the exact date. Please see copy of original invoice pictured below for mine, which was in a 1000 gun shipment direct to US Navy, Oakland, California. My Letter from the SWHF states that my gun with serial number V 192216 was in the shipment covered with the shown invoice.
These are great guns, and are getting quite collectible. Do you have any backstory (how you came by it, who owned it, where it's been, etc.) with yours?
Again....welcome and stick around...you'll learn more than you ever thought possible about Smith & Wesson.